A note on maximal partial spreads with deficiency q + 1, q even

Authors:
Dieter Jungnickel;Leo Storme
Affiliations:
Lehrstuhl für Diskrete Mathematik, Optimierung und Operations Research, Universität Augsburg, D-86135 Augsburg, Germany;Department of Pure Maths and Computer Algebra, Ghent University, Krijgslaan 281, B-9000 Gent, Belgium
Venue:
Journal of Combinatorial Theory Series A
Year:
2003

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Abstract

We settle an open case for the spectrum of sizes of maximal partial spreads in PG(3, q) by constructing an MPS of deficiency q + 1 for all even q ≥ 8.